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Simplifying 3(y + -8) + -5 = 9(y + 2) + 1 Reorder the terms: 3(-8 + y) + -5 = 9(y + 2) + 1 (-8 * 3 + y * 3) + -5 = 9(y + 2) + 1 (-24 + 3y) + -5 = 9(y + 2) + 1 Reorder the terms: -24 + -5 + 3y = 9(y + 2) + 1 Combine like terms: -24 + -5 = -29 -29 + 3y = 9(y + 2) + 1 Reorder the terms: -29 + 3y = 9(2 + y) + 1 -29 + 3y = (2 * 9 + y * 9) + 1 -29 + 3y = (18 + 9y) + 1 Reorder the terms: -29 + 3y = 18 + 1 + 9y Combine like terms: 18 + 1 = 19 -29 + 3y = 19 + 9y Solving -29 + 3y = 19 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -29 + 3y + -9y = 19 + 9y + -9y Combine like terms: 3y + -9y = -6y -29 + -6y = 19 + 9y + -9y Combine like terms: 9y + -9y = 0 -29 + -6y = 19 + 0 -29 + -6y = 19 Add '29' to each side of the equation. -29 + 29 + -6y = 19 + 29 Combine like terms: -29 + 29 = 0 0 + -6y = 19 + 29 -6y = 19 + 29 Combine like terms: 19 + 29 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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